117/14 to a mixed number

How to write 117/14 as a Mixed Number?

Answer: Fraction 117/14 as a mixed number it is 8 5/14

Since we have an improper fraction (the numerator [117] is greater than the denominator [14]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

117
/
14
=8
5
/
14

Steps to convert 117/14 to a mixed number

In order to convert our improper fraction 117/14 to a mixed number, we need to follow three basic steps:

1. Find the whole number. First we need to calculate how many times the denominator [14] goes into the numerator [117]. To do this we divide the numerator by the denominator:

117 ÷ 14 = 8.36 = 8

(Quotient of 8 and a remainder of 5)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [5].

You may also calculate a remainder by using the whole number we calculated in the first step [8] and multiplying it by the original denominator [14]. And then subtract the result from the original numerator [117]:

117 - (8 × 14)

=

117 - 112 = 5

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [5] and put it above the original denominator [14], and then put the whole number [8] before it

117
/
14
=8
5
/
14

That's it! We have successfully converted the improper fraction 117/14 to the mixed number 8 5/14.

Related Calculations

Fraction to a Mixed Number Conversion Table

FractionMixed Number
118/14
119/14
120/14
121/148 9/14
122/14
123/148 11/14
124/14
125/148 13/14
126/149
127/14
128/14
129/14
130/14
131/14
132/14
133/14
134/14
135/14
136/14
137/149 11/14
138/14
139/149 13/14
140/1410
141/1410 1/14
142/14
143/14
144/14
145/1410 5/14
146/14

Fraction to Mixed Number Converter

This calculator will help you to convert an Improper Fraction to a Mixed Number. For example, it can help you find out how to write 117/14 as a Mixed Number? (The answer is: 8 5/14). Enter the fraction (numerator and denominator) (e.g. '117/14') and hit the 'Convert' button.
An improper fraction is a type of fraction where the numerator is greater than or equal to the denominator. A mixed number is a combination of a whole number and a proper fraction.

FAQ

How to write 117/14 as a Mixed Number?

Fraction 117/14 as a mixed number it is 8 5/14